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Finding the Fourth Proportional to 12,189.52, 18,285.15 and 5,954.71

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Solution

The fourth proportional to 12,189.52, 18,285.15 and 5,954.71 is: 8,932.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,189.52 : 18,285.15 = 5,954.71 : x
  2. Step 2: Convert to fraction form
    12,189.52/18,285.15 = 5,954.71/x
  3. Step 3: Cross multiply
    12,189.52x = 18,285.15 × 5,954.71
  4. Step 4: Simplify right side
    12,189.52x = 108,882,765.56
  5. Step 5: Solve for x
    x = 108,882,765.56/12,189.52
  6. Step 6: Final answer
    x = 8,932.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.